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Popular >

simplify e^x*e^{-x/2}

Solution

simplify

e^{x} \cdot e^{- \frac{x}{2}}

Solution

e^{\frac{x}{2}}

Solution steps

e^{x} e^{- \frac{x}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{- \frac{x}{2}} = e^{x - \frac{x}{2}}

= e^{x - \frac{x}{2}}

Join

x - \frac{x}{2} : \frac{x}{2}

= e^{\frac{x}{2}}

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Frequently Asked Questions (FAQ)

What is e^x*e^{-x/2} ?
The solution to e^x*e^{-x/2} is e^{x/2}